{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Analysis of spectral compression for narrowband photons with a cavity" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import parmap\n", "import pyfftw\n", "import tqdm\n", "\n", "from scipy.optimize import minimize_scalar\n", "\n", "from numpy import pi" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Functions" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "def fract(pw_spectrum, fraction):\n", "# the vectorial form time is independent of the output, while the loop form is faster if the result is close to zero\n", "# return np.nonzero(np.cumsum(pw_spectrum) > fraction * pw_spectrum.sum())[0][0]\n", " s = np.sum(pw_spectrum)\n", " j = 0\n", " for idx, k in enumerate(pw_spectrum):\n", " j += k\n", " if j > (s * fraction):\n", " break\n", " return idx" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "def cavity_f(omega_v, omega_c, R1, R2, Gamma_c, separated=False):\n", " Domega = omega_v - omega_c\n", " num = np.sqrt(R1) - np.sqrt(R2) * np.exp(\n", " -1j * Domega * np.log(R1 * R2) / (2 * pi * Gamma_c)\n", " )\n", " den = 1 - np.sqrt(R1 * R2) * np.exp(\n", " -1j * Domega * np.log(R1 * R2) / (2 * pi * Gamma_c)\n", " )\n", " retval = num / den\n", " if separated:\n", " return [np.abs(retval), np.angle(retval)]\n", " return retval\n", "\n", "\n", "def decay_state_f(omega_v, omega_0, Gamma_p, separated=False):\n", " Domega = omega_v - omega_0\n", " num = np.sqrt(Gamma_p)\n", " den = np.pi * Gamma_p - 1j * Domega\n", " retval = num / den\n", " if separated:\n", " return [np.abs(retval), np.angle(retval)]\n", " return retval\n", "\n", "\n", "def decay_state_t(time_v, t_0, tau_p):\n", " time_n = time_v - t_0\n", " retval = (time_n > 0) * np.exp(-time_n / (2 * tau_p))\n", " return retval / np.sqrt(np.power(retval, 2).sum())\n", "\n", "\n", "def psi_compressed_t(t, Gamma_p, Gamma_c, DeltaOmega):\n", " state = (t > 0) * (\n", " 2 * pi * Gamma_c * np.exp(-t * pi * Gamma_c)\n", " - (pi * (Gamma_c + Gamma_p) + 1j * DeltaOmega)\n", " * np.exp(-t * (pi * Gamma_p + 1j * DeltaOmega))\n", " )\n", " state = state / (pi * (Gamma_p - Gamma_c) + 1j * DeltaOmega)\n", " return state / np.sqrt(np.power(np.abs(state), 2).sum())\n", "\n", "\n", "def psi_compressed_f(Omega, Gamma, Gammac, norm=False):\n", " retval = (\n", " (\n", " Gamma\n", " * (\n", " 1\n", " - 2\n", " ** (\n", " (2 * Gamma * pi - Gammac * pi + 1j * Omega)\n", " / (Gamma * pi - Gammac * pi)\n", " )\n", " * (Gammac / (Gamma + Gammac))\n", " ** ((Gamma * pi + 1j * Omega) / (Gamma * pi - Gammac * pi))\n", " )\n", " )\n", " / ((Gamma - Gammac) * (Gamma * pi + 1j * Omega))\n", " + (\n", " Gammac\n", " * (\n", " 1\n", " - 2\n", " ** (\n", " (2 * Gamma * pi - Gammac * pi + 1j * Omega)\n", " / (Gamma * pi - Gammac * pi)\n", " )\n", " * (Gammac / (Gamma + Gammac))\n", " ** ((Gamma * pi + 1j * Omega) / (Gamma * pi - Gammac * pi))\n", " )\n", " )\n", " / ((Gamma - Gammac) * (Gamma * pi + 1j * Omega))\n", " - (\n", " 2\n", " * Gammac\n", " * (\n", " 1\n", " - 2 ** ((Gamma * pi + 1j * Omega) / (Gamma * pi - Gammac * pi))\n", " * (Gammac / (Gamma + Gammac))\n", " ** ((Gammac * pi + 1j * Omega) / (Gamma * pi - Gammac * pi))\n", " )\n", " )\n", " / ((Gamma - Gammac) * (Gammac * pi + 1j * Omega))\n", " )\n", " if norm:\n", " retval /= np.max(retval)\n", " return retval" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Test of the functions" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "omega_max = 10000\n", "n_points = int(1e5) + 1\n", "omega_v, omega_step = np.linspace(-omega_max, omega_max, n_points, retstep=True)\n", "spec = decay_state_f(omega_v, 0, 26.54, True)\n", "\n", "fig, (ax0, ax1, ax3) = plt.subplots(3, 1, sharex=True, figsize=(14, 10))\n", "\n", "ax0.set_title('Phase of the cavity transformation')\n", "ax0.set_yticks([-1, 0, 1])\n", "ax0.set_yticklabels([r'-$\\pi$', '0', r'$\\pi$'])\n", "ax0.plot(omega_v, cavity_f(omega_v, 0, .99, 1, 3, True)[1] / np.pi)\n", "\n", "ax1.set_title('Frequency features of exponentially decaying state')\n", "ax1.set_yticklabels([r'-$\\frac{\\pi}{2}$', '0', r'$\\frac{\\pi}{2}$'])\n", "ax1.set_ylabel('Phase')\n", "ax1.set_yticks([-.5, 0, .5])\n", "ax1.plot(omega_v, spec[1] / np.pi)\n", "\n", "ax1b = ax1.twinx()\n", "ax1b.set_ylabel('Power spectrum')\n", "ax1b.plot(omega_v, (spec[0])**2, 'r');\n", "\n", "ax3.set_title('Frequency features of compressed state (from analytical solution)')\n", "ax3.set_xlabel('Detuning from central frequency (MHz)')\n", "\n", "[ax3.plot(omega_v, np.abs(psi_compressed_f(omega_v, 26.54, k, norm=True))**2 , label='{} MHz'.format(k))\n", " for k in [1e-2, 1, 7, 30]]\n", "ax3.plot(omega_v, (spec[0])**2 /np.max((spec[0])**2), label='Original')\n", "ax3.legend(title='$\\Gamma_c$')\n", "plt.xlim(-500, 500);" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "26.292396598781227" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "idx_50 = fract((spec[0][n_points//2:])**2, .5)\n", "omega_v[idx_50 + n_points//2] / pi" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Analytic approach" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "the analytical approach is limited to the case of $\\Delta\\omega=0$" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "8.116983267519338" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "def analytical_bw(Gamma_c, Gamma_p, freq_v):\n", " idx_50 = fract(np.abs(psi_compressed_f(freq_v, Gamma_p, Gamma_c, True))**2, .5)\n", " return freq_v[idx_50] / pi\n", "\n", "# test\n", "freq_v = np.linspace(0, 1e4, int(1e5))\n", "analytical_bw(7, 26.54, freq_v)" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "512it [00:08, 53.97it/s] \n" ] } ], "source": [ "Gamma_p = 26.54\n", "# gammas = np.linspace(.01, 20, 500) * Gamma_p\n", "gammas = np.logspace(-2, 2, 500) * Gamma_p\n", "\n", "bws = parmap.map(analytical_bw, gammas, Gamma_p, freq_v, pm_pbar=True)" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(14, 7))\n", "plt.plot(gammas, bws)\n", "gammas[np.argmin(bws)]\n", "plt.xlabel('$\\Gamma_c$ (MHz)')\n", "plt.ylabel('Resulting BW (MHz)')\n", "plt.semilogx();" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "gamma_min = gammas[np.argmin(bws)]\n", "res = minimize_scalar(\n", " analytical_bw,\n", " args=(Gamma_p, freq_v),\n", " bounds=(gamma_min - 3, gamma_min + 3),\n", " method=\"bounded\",\n", ")" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Optimal bandwidth 7.295 MHz\n" ] } ], "source": [ "if res.status == 0:\n", " print('Optimal bandwidth {:.3f} MHz'.format(res.x))\n", "Gamma_c_opt = res.x" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Applying dispersion directly" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Frequency resolution 0.2 MHz\n" ] } ], "source": [ "omega_max = 10000\n", "n_points = int(1e5) + 1\n", "omega_v, omega_step = np.linspace(-omega_max, omega_max, n_points, retstep=True)\n", "Gamma_p = 26.54\n", "dispersed_state_f = cavity_f(omega_v, 0, .99, 1, 7) * decay_state_f(omega_v, 0, Gamma_p)\n", "print('Frequency resolution {} MHz'.format(omega_step))" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(14, 7))\n", "ax1 = plt.gca()\n", "ax1.plot(\n", " omega_v, decay_state_f(omega_v, 0, 26.54, separated=True)[1] / pi, label=\"Original\"\n", ")\n", "ax1.plot(omega_v, np.angle(dispersed_state_f) / pi, label=\"After cavity\")\n", "plt.yticks([-1, 0, 1], [\"$-\\pi$\", \"0\", \"$\\pi$\"])\n", "\n", "ax2 = ax1.twinx()\n", "ax2.plot(omega_v, np.abs(dispersed_state_f) ** 2, \"r\", label='Power spectrum')\n", "\n", "lines1, labels1 = ax1.get_legend_handles_labels()\n", "lines2, labels2 = ax2.get_legend_handles_labels()\n", "ax2.legend(lines1 + lines2, labels1 + labels2);" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(7.868620386463097, 26.317861389675908)" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "a = pyfftw.empty_aligned(n_points, dtype='complex128')\n", "b = pyfftw.empty_aligned(n_points, dtype='complex128')\n", "c = pyfftw.empty_aligned(n_points, dtype='float64')\n", "d = pyfftw.empty_aligned(n_points//2 + 1, dtype='complex128')\n", "\n", "fft_object = pyfftw.FFTW(a, b, direction='FFTW_BACKWARD')\n", "fft_object2 = pyfftw.FFTW(c, d)\n", "\n", "a[:] = dispersed_state_f\n", "b = fft_object()\n", "\n", "c[:] = np.abs(b)\n", "d = fft_object2()\n", "\n", "d_ps = np.abs(np.r_[d[::-1], d[1:]])**2\n", "d_ps = d_ps / np.sum(d_ps)\n", "\n", "plt.figure(figsize=(14, 7))\n", "plt.plot(omega_v, d_ps)\n", "plt.plot(omega_v, np.abs(dispersed_state_f)**2 / np.sum(np.abs(dispersed_state_f)**2) )\n", "plt.xlim(-500, 500);\n", "\n", "fract(np.abs(d)**2, .5)\n", "omega_v[n_points //2 + fract(np.abs(d)**2, .5)] / pi, omega_v[n_points //2 + fract(np.abs(a[n_points//2:])**2, .5)] / pi" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Frequency resolution 0.02\n" ] }, { "data": { "text/plain": [ "7.874986584186912" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "omega_max = 10000\n", "n_points = int(1e6) + 1\n", "omega_v, omega_step = np.linspace(-omega_max, omega_max, n_points, retstep=True)\n", "print('Frequency resolution {}'.format(omega_step))\n", "\n", "Gamma_p = 26.54\n", "dispersed_state_f = cavity_f(omega_v, 0, .99, 1, 7) * decay_state_f(omega_v, 0, Gamma_p)\n", "\n", "a = pyfftw.empty_aligned(n_points, dtype='complex128')\n", "b = pyfftw.empty_aligned(n_points, dtype='complex128')\n", "c = pyfftw.empty_aligned(n_points, dtype='float64')\n", "d = pyfftw.empty_aligned(n_points//2 + 1, dtype='complex128')\n", "\n", "fft_object = pyfftw.FFTW(a, b, direction='FFTW_BACKWARD')\n", "fft_object2 = pyfftw.FFTW(c, d)\n", "\n", "\n", "def psi_compressed_fft(omega_v, Gamma_p, Gamma_c, DeltaOmega, mirrored=True):\n", " dispersed_state_f = cavity_f(omega_v, DeltaOmega, .99, 1, Gamma_c) * decay_state_f(omega_v, 0, Gamma_p)\n", " a[:] = dispersed_state_f\n", " b = fft_object()\n", "\n", " c[:] = np.abs(b)\n", " d = fft_object2()\n", " if mirrored:\n", " return np.r_[d[::-1], d[1:]]\n", " return d\n", "\n", "\n", "def fft_bw(Gamma_p, Gamma_c, omega_v, DeltaOmega):\n", " psi_compressed_fft(omega_v, Gamma_p, Gamma_c, DeltaOmega, mirrored=False)\n", " return omega_v[len(omega_v) //2 + fract(np.abs(d)**2, .5)] / pi\n", "\n", "fft_bw(Gamma_p, Gamma_c_opt, omega_v, DeltaOmega=0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Checking the effects of the cavity bandwidth" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "time bin 0.050 ns\n", "frequency bin 0.020 MHz\n" ] } ], "source": [ "DeltaOmega = 0\n", "Gamma_p = 26.53\n", "gammas = np.array([0.1, 0.3, 1, 3]) * (Gamma_p + 1e-11)\n", "\n", "time_v = np.fft.fftshift(np.fft.fftfreq(n_points, omega_step))\n", "time_v_lim = time_v[time_v>-1]\n", "time_step = time_v[1] - time_v[0]\n", "\n", "psi_start = decay_state_t(time_v_lim, 0, 1 / (2 * pi * Gamma_p))\n", "psi_start_f = decay_state_f(omega_v, 0, Gamma_p)\n", "psi_start_fft = np.fft.rfft(np.abs(psi_start), norm='ortho')\n", "\n", "psi_final = [psi_compressed_t(time_v_lim, Gamma_p, k, DeltaOmega) for k in gammas]\n", "psi_final_fft = [psi_compressed_fft(omega_v, Gamma_p, k, DeltaOmega) for k in gammas]\n", "# # psi_final_fft /= psi_final_fft.max()\n", "\n", "print(('time bin {:.3f} ns\\n'\n", " 'frequency bin {:.3f} MHz').format(time_step*1e3, omega_step))" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(18, 6))\n", "\n", "ax1.set_title('Time')\n", "ax1.plot(time_v_lim * 1e3, np.abs(psi_start) ** 2, label = 'Original')\n", "\n", "[ax1.plot(time_v_lim * 1e3, np.abs(k) ** 2, label='{:.1f} MHz'.format(j)) for k, j in zip(psi_final, gammas)]\n", "ax1.set_xlim(-3, 100)\n", "ax1.legend()\n", "ax1.set_xlabel(\"$\\Delta t$ (ns)\")\n", "\n", "\n", "ax2.set_title('Frequency')\n", "ax2.plot(omega_v, np.abs(psi_start_f) ** 2, label = 'Original')\n", "[ax2.plot(omega_v, np.abs(k) ** 2, label='{:.1f} MHz'.format(j)) for k, j in zip(psi_final_fft, gammas)]\n", "\n", "ax2.set_xlim(-300, 300)\n", "ax2.set_xlabel(\"$\\Delta \\omega$ (MHz)\")\n", "ax2.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Scan parameters" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Sanity check, compare with the analytic one for the case of $\\Delta\\omega=0$" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "512it [00:59, 7.42it/s] \n" ] } ], "source": [ "gammas_v = np.logspace(-2, 2, 500) * Gamma_p\n", "Gamma_p = 26.54\n", "\n", "\n", "def u_func(Gamma_c, Gamma_p, omega_v):\n", " return fft_bw(Gamma_p, Gamma_c, omega_v, DeltaOmega=0)\n", "\n", "bws = parmap.map(u_func, gammas_v, Gamma_p, omega_v, pm_pbar=True)" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(14, 7))\n", "plt.plot(gammas_v, bws)\n", "plt.xlabel('$\\Gamma_c$ (MHz)')\n", "plt.ylabel('Resulting BW (MHz)')\n", "plt.semilogx();" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "105it [00:13, 8.51it/s] \n", "105it [00:14, 7.42it/s] \n", "105it [00:13, 8.24it/s] \n", "105it [00:13, 8.45it/s] \n", "105it [00:13, 7.93it/s] \n" ] } ], "source": [ "Gamma_p = 26.54\n", "deltas_v = np.linspace(-15, 15, 101) * Gamma_p\n", "gammas = np.array([.1, .3, 1, 3, 10]) * Gamma_c_opt\n", "\n", "def u_func(DeltaOmega, Gamma_c, Gamma_p, omega_v):\n", " return fft_bw(Gamma_p, Gamma_c, omega_v, DeltaOmega)\n", "\n", "bws = [parmap.map(u_func, deltas_v, k, Gamma_p, omega_v, pm_pbar=True) for k in gammas]" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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